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MBA, PHD
Phoniex
Jul-2007 - Jun-2012
Corportae Manager
ChevronTexaco Corporation
Feb-2009 - Nov-2016
Question description
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1. A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. How large of a sample is needed to make the margin of error within .50 milligrams with 80% confidence?
2. You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. In the past, the standard deviation of the cost of repairs for washing machines has been $17.50. As part of your study, you randomly select 40 repair costs and find the mean to be $100.00. How large of a sample is need to make the margin of error within $2.50 with 90% confidence?\
3. The actual time it takes to cook a ten pound turkey is a normally distributed. Suppose that a random sample of 19 ten pound turkeys is taken. Given that an average of 2.9 hours and a standard deviation of .24 hours was found, find how large of a sample would be needed to reduce the margin of error to.05? (Assume 95% confidence).
4. An engineer at a bolt factory knows that the widths of the bolts produced on a given day are normally distributed with a standard deviation of o = 0.2 mm. How large of a sample is needed to make the margin of error with in .01 with 99% confidence?
5. Suppose we know that scores on a standardized reading exam are normally distributed with a standard deviation of o = 130. The sample mean of the scores is x = 509.23. What size sample is needed to make the margin of error within 10 points, assume 99% confidence?
6. A political organization claims that the population mean score on a standardized math exam is above 325. We know that the scores are normally distributed with a standard deviation of o = 55. The sample mean of the scores is x = 315. How large of a sample would be needed to make the margin of error within 2.5 points? Assume 95% confidence.
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